A three-manifold invariant from graph configurations
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866917685730738176 |
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| author | Mandin-Hublé, Yohan |
| author_facet | Mandin-Hublé, Yohan |
| contents | The logarithm of the Kontsevich-Kuperberg-Thurston invariant counts embeddings of connected trivalent graphs in an oriented rational homology sphere, using integrals on configuration spaces of points in the given manifold. It is a universal finite type invariant of oriented rational homology spheres. The exponential of this invariant is often called the perturbative expansion of the Chern-Simons theory. In this article, we give an independent original definition of the degree two part of the logarithm of the Kontsevich-Kuperberg-Thurston invariant appropriate for concrete computations. This article can also serve as an introduction to the general definition of the logarithm of the Kontsevich-Kuperberg-Thurston invariant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16972 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A three-manifold invariant from graph configurations Mandin-Hublé, Yohan Geometric Topology 57K16 57K31 55R80 81Q30 The logarithm of the Kontsevich-Kuperberg-Thurston invariant counts embeddings of connected trivalent graphs in an oriented rational homology sphere, using integrals on configuration spaces of points in the given manifold. It is a universal finite type invariant of oriented rational homology spheres. The exponential of this invariant is often called the perturbative expansion of the Chern-Simons theory. In this article, we give an independent original definition of the degree two part of the logarithm of the Kontsevich-Kuperberg-Thurston invariant appropriate for concrete computations. This article can also serve as an introduction to the general definition of the logarithm of the Kontsevich-Kuperberg-Thurston invariant. |
| title | A three-manifold invariant from graph configurations |
| topic | Geometric Topology 57K16 57K31 55R80 81Q30 |
| url | https://arxiv.org/abs/2311.16972 |